Публикации:
Гасанов М. В., Гулканов А.,
Analytical Solution of the Rayleigh – Plesset Equation Filled with Van Der Waals Gas for Various Isoprocesses
2024, vol. 20, no. 1, с. 3-13
Подробнее
In this paper, we consider a mathematical model of the dynamics of the behavior of a spherically
symmetric Rayleigh – Plesset bubble in the van der Waals gas model. The analysis of the
model takes into account various isoprocesses without the presence of condensation and a model
that takes into account condensation in an isothermal process. In each case, various characteristics
are searched for, such as oscillation frequency (linear/small oscillations), damping factor,
relaxation time, decrement, and logarithmic decrement. Solutions are found in quadratures for
various parameters of the equation. The theoretical results obtained are compared with the
results of the numerical solution of the Cauchy problem for various isoprocesses.
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